微积分interval
Consider the equation below.(Round the answers to three decimal places.If you need to use - or ,enter -INFINITY or INFINITY.)
f(x) = e^3x + e^-x
(a) Find the interval on which f is increasing.
Find the interval on which f is decreasing.
(b) Find the local minimum value of f.
(c) Find the interval on which f is concave up.
人气：468 ℃ 时间：2020-06-12 10:11:17
解答
(a) Take the derivative of f(x)f'(x)=3e^3x - e^-x > 03e^3x > e^-xe^-x (3e^4x-1) >0e^4x > 1/34x> -ln3x> -1/4 ln 3(-1/4 ln 3, Infinity) f is increasing(negative infinity, -1/4 ln 3) f is monotonically d...
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